Intermodulation

Intermodulation(IMD) distortion is the result of two signals interacting in a

nonlinear device to produce additional unwanted signals. These IMDs occur

mainly in devices such as amplifiers and mixers[3,7]

Even if these IMDs are not exactly located at the signal frequency in spectrum,

they are still able to interfere signal.

1

As shown in the figure above, fa and fb generate IMD3. In terms of Fourier

transform, IMD is a product in the time domain, and which is also a convolution

in the frequency domain[5] , i.e.,

Thus, the IMD3 product at (2f a − f b) has a bandwidth of (2fa + fb), and the IMD3

at (2f b − f a) has a bandwidth of (2fb + fa). Therefore, these IMDs may cover a lot

of channels, higher the order of IMD, wider the bandwidth of IMD.

That is to say, as long as these IMDs are near signal and have wide enough

bandwidth, they are still able to interfere signal without being located at the

same frequency as which of signal.

2

In addition, they also occur in passive devices such as those found in many

transmission systems. For example, RF connectors on transmission feeds may

become corroded over time resulting in them behaving as nonlinear diode

junctions[3].

As illustrated in the figure above, the I-V curve of diode is typically nonlinear. As a

result, we may see unwanted nonlinear frequency responses of passive

components including connectors and cable feeds[8,9].

3

As mentioned above, as long as two tones interact in a nonlinear device, IMDs are

generated. Thus, with three signals present at the input of an amplifier or mixer,

three sets of IM products are produced (caused by f1&f2 combining, f1&f3

combining and f2&f3 combining), this is shown in the figure below :

A total of 15 different different IMD3 may be generated (including 3rd

harmonics). If this happens then IMDs are everywhere. Particularly, among the

15 different IMD3, 6 IMD3 are near signal.

4

For example, there is Tx leakage issue in WCDMA, CDMA, and FDD-LTE[6,10] :

Therefore, there will be three signals in the receiver input : Blocker, Rx signal,

and Tx signal :

As illustrated above, there will be 15 different IMD3, and 6 of which are near Rx

signal.

5

Reverse Intermodulation

As for base stations, if their antennas are placed relatively close together[5],

the IMDs are more considerable[8].

6

What mentioned above is forward IMD. In fact, there is still reverse IMD(RIM).

All these IMDs(including both forward IMD and RIM) have a debilitating effect

on the performance of telecommunications networks. The result decreases

system capacity and degrades call quality at cell sites[3].

So, what’s RIM ? Let’s take PA for example. A single PA where two tones are

present at the input, and IMDs are produced in the normal way, as illustrated

below[1,5] :

Nevertheless, because the isolation between these tones is not perfect, then a

reverse interference is fed from one amplifier to another. The reverse signal

interacts with the transmission signal causing RIMs to be broadcast, which could

then interfere with other systems[1,5].

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Spectrum of RIM is illustrated as below[4] :

Therefore, some PA datasheets have RIMs test results, e.g. RF3267 of RFMD[2].

Nevertheless, all IMDs, regardless of forward or reverse form, can cause

interference at a receiver[5].

8

As illustrated in the figure above, large transmit signal b from jammer B radiates

into the power amplifier of jammer A and produces IMD3 that may fall in the

desired receive channel of a colocated base station receiver RX.

Particularly, compared to PA, LNA is susceptible to saturation. In other words, the

IMDs do not fall directly on the desired receive channel, the high power jamming

signals at the victim receiver may still saturate the receiver front-end and cause

desensitization regardless of their frequencies[5].

As illustrated in the figure below[36], the gain of LNA reduces if the blocker is at

LNA input with large enough level and regardless of its frequency[36].

9

As illustrated in the figure below, desired signal at 920MHz, blocker at 921MHz.

They are not located at the same frequency, but the blocker still has

overwhelmed the LNA, and desensitized its gain by 17dB[5].

10

As mentioned above, receivers need to have minimized IMDs to maintain call

quality[3]. Thus, the receiver pre-filtering stops large outband jamming signals

and admits only the desired signal into the LNA, even if the method degrades

sensitivity due to insertion loss of pre-filter[10], as illustrated below[5] :

Likewise, transmitter post-filtering rejects any reverse signal from entering the

PAs and stops IMDs from being transmitted, even if the method increases PA

post-loss and forces PA to generate more output power with the same target

power, as illustrated in the figure above[5].

Besides, some receivers integrate cancellation system carried out by DSP[5].

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Reference

[1] CMOS RF POWER AMPLIFIERS FOR MOBILE WIRELESS COMMUNICATIONS

[2] RF3267, 3V W-CDMA LINEAR PA MODULE, RFMD

[3] Intermodulation Distortion, Application Note, AEROFLEX

[4] Sensitivity and Mitigation of Reverse IMD in Power Amplifiers

[5] INTERFERENCE MITIGATION IN COLOCATED WIRELESS SYSTEMS

[6] A Highly Selective, Very Linear Low Noise Transconductance Amplifier

Capable of Large-Signal Handling for Current-Mode Receivers Front-End

[7] Understanding Intermodulation Distortion Measurements

[8] Passive Intermodulation (PIM) in the RF Path

[9] Maximizing Network Capacity by Minimizing Passive Intermodulation (PIM)

[10] Sensitivity or selectivity -- How does eLNA impact the receriver

performance, Slideshare

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